Results 1 to 8 of about 10 (8)

Estimates for evolutionary partial differential equations in classical function spaces

Forum of Mathematics, Sigma, 2023
We establish new local and global estimates for evolutionary partial differential equations in classical Banach and quasi-Banach spaces that appear most frequently in the theory of partial differential equations.
Alejandro J. Castro, Anders Israelsson, Wolfgang Staubach, Madi Yerlanov   +3 more
doaj   +1 more source

Gevrey Regularity of the Global Attractor for Damped Forced KdV Equation on the Real Line

, 2018
We consider here a weakly damped KdV equation on the real line with forcing term that belongs to some Gevrey space. We prove that the global attractor is also contained into such a space of analytic functions.
O. Goubet
semanticscholar   +1 more source

The agreement between novel exact and numerical solutions of nonlinear models

Partial Differential Equations in Applied Mathematics, 2023
Nonlinear models (NLMs), being an important topic in mathematical physics, have attracted a lot of attention in the international research community because they have numerous uses in human life. These NLMs are typically implemented to illuminate various
Md. Nur Alam, S. M. Rayhanul Islam
doaj  

Almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems in two space dimensions

Forum of Mathematics, Sigma
We prove almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems with small and localized data in two space dimensions. We assume only mild decay on the data at infinity as well as minimal regularity.
Mihaela Ifrim, Annalaura Stingo
doaj   +1 more source

On new computational and numerical solutions of the modified Zakharov–Kuznetsov equation arising in electrical engineering

Alexandria Engineering Journal, 2020
In this research, analytical and numerical solutions are studied of a two–dimensional discrete electrical lattice, which is mathematically represented by the modified Zakharov–Kuznetsov equation.
Choonkil Park, Mostafa M.A. Khater, Abdel-Haleem Abdel-Aty, Raghda A.M. Attia, Dianchen Lu   +4 more
doaj  

Investigation of new solitary stochastic structures to the Heisenberg ferromagnetic spin chain model via a Stratonovich sense

Partial Differential Equations in Applied Mathematics
This study examines how Stratonovich integrals (SIs) affect the solutions of the Heisenberg ferromagnetic spin chain (HFSC) equation using the modified (G'/G)-expansion (MG'/GE) scheme.
Md. Nur Alam
doaj  

Study of the parametric effect of the wave profiles of the time-space fractional soliton neuron model equation arising in the topic of neuroscience

Partial Differential Equations in Applied Mathematics
Time-space fractional nonlinear problems (T-SFNLPs) play a crucial role in the study of nonlinear wave propagation. Time-space nonlinearity is prevalent across various fields of applied science, nonlinear dynamics, mathematical physics, and engineering ...
Md. Nur Alam, Md. Azizur Rahman
doaj  

Decay of Solutions to a 2D Schrödinger Equation

, 2011
Let u∈C(R,H1) be the solution to the initial value problem for a 2D semilinear Schrodinger equation with exponential type nonlinearity, given in [1]. We prove that the Lr norms of u decay as t→±∞, provided that r>2.
Saanouni Tarek
semanticscholar   +1 more source